Сократите дроби: 14x^3y/22xy^3= a^2-4b^2/(a+2b)^2= a^2/a^2-3a= a^2-10ab+25b^2/5b-a=

Решение:

$1)~\dfrac{14x^{3}y }{22xy^{3} } = \dfrac{7x^{2}}{11y^{2} }$

$2)~\dfrac{a^{2}-4b^{2} }{(a + 2b)^{2} } = \dfrac{(a-2b)(a+2b)}{(a+2b)(a+2b)}=\dfrac{a-2b}{a+2b}$

$3)~\dfrac{a^{2}}{a^{2}-3a } =\dfrac{a\cdot a}{a\cdot (a-3)} =\dfrac{a}{a-3}$

$4)~\dfrac{a^{2}-10ab + 25b^{2} }{5b-a} = \dfrac{(5b - a)^{2}}{5b-a} = 5b-a$